{
  "id": "0711.3674",
  "version": "v1",
  "published": "2007-11-23T07:44:05.000Z",
  "updated": "2007-11-23T07:44:05.000Z",
  "title": "Strong invariance principles for dependent random variables",
  "authors": [
    "Wei Biao Wu"
  ],
  "comment": "Published in at http://dx.doi.org/10.1214/009117907000000060 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)",
  "journal": "Annals of Probability 2007, Vol. 35, No. 6, 2294-2320",
  "doi": "10.1214/009117907000000060",
  "categories": [
    "math.PR"
  ],
  "abstract": "We establish strong invariance principles for sums of stationary and ergodic processes with nearly optimal bounds. Applications to linear and some nonlinear processes are discussed. Strong laws of large numbers and laws of the iterated logarithm are also obtained under easily verifiable conditions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-11-23T07:44:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F05",
      "60F17"
    ],
    "keywords": [
      "dependent random variables",
      "establish strong invariance principles",
      "ergodic processes",
      "strong laws",
      "nonlinear processes"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0711.3674B"
    }
  }
}